Browsing UMBC Mathematics and Statistics Department by Issue Date
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Convergence Order Studies for Elliptic Test Problems with COMSOL Multiphysics
(2008)The convergence order of fi nite elements is related to the polynomial order of the basis functions used on each element, with higher order polynomials yielding better convergence orders. However, two issues can prevent ... 
Parallel Performance Studies for a Hyperbolic Test Problem
(2008)The performance of parallel computer code depends on an intricate interplay of the processors, the architecture of the compute nodes, their interconnect network, the numerical algorithm, and the scheduling policy used. ... 
MVAPICH2 vs. OpenMPI for a Clustering Algorithm
(2008)Affinity propagation is a clustering algorithm that functions by identifying similar data points in an iterative process. Its structure allows for taking full advantage of parallel computing to enable the solution of larger ... 
Parallel Performance Studies for a Clustering Algorithm
(2008)Affinity propagation is a clustering algorithm that functions by identifying similar datapoints in an iterative process. Its structure allows for taking full advantage of parallel computing by enabling the solution of ... 
Parallel Performance Studies for a Parabolic Test Problem
(2008)The performance of a parallel computer depends on an intricate interplay of the processors, the architecture of the compute nodes, their interconnect network, the numerical algorithm, and the scheduling policy used. This ... 
Parallel Performance Studies for an Elliptic Test Problem
(2008)The performance of parallel computer code depends on an intricate interplay of the processors, the architecture of the compute nodes, their interconnect network, the numerical algorithm, and the scheduling policy used. The ... 
LongTime Simulations on High Resolution Meshes to Model Calcium Waves in a Heart Cell
(Society for Industrial and Applied Mathematics, 20081013)A model for the flow of calcium on the scale of one heart cell is given by a system of timedependent reactiondiffusion equations coupled by nonlinear reaction terms. Calcium ions enter into the cell at release units ... 
Efficient Computation for a ReactionDiffusion System with a Fast Reaction with Continuous and Discontinuous Initial Data Using COMSOL Multiphysics
(2009)In a chemical reactiondiffusion system with three species, the interaction between diffusion and a fast reaction between two species creates a transient, sharp, internal interface. Besides the three species model, we use ... 
Solving a TwoDimensional Elliptic Model Problem with the Conjugate Gradient Method Using MatrixFree SSOR Preconditioning in Matlab
(2009)The existing Preconditioned Conjugate Gradient method in Matlab can be optimized in terms of wall clock time and, more importantly, required storage space. The developed optimized algorithm was tested repeatedly on a two ... 
Efficient Computation for a ReactionDiffusion System with a Fast Reaction in Two Spatial Dimensions Using COMSOL Multiphysics
(2009)We study a reactiondiffusion system of three chemical species, where two chemicals react with a much faster rate than the other reaction in the model. We are interested in the asymptotic limit as the rate becomes in finite. ... 
LongTime Simulation of Calcium Waves in a Heart Cell to Study the Effects of Calcium Release Flux Density and of Coefficients in the Pump and Leak Mechanisms on SelfOrganizing Wave Behavior
(2009)Spontaneous calcium sparks can lead to propagation of a selfinitiated calcium wave under certain conditions in a heart cell. A model for diffusion waves of calcium ions in a heart cell is given by a system of coupled, ... 
Performance Studies with COMSOL Multiphysics via Scripting and Batch Processing
(2009)COMSOL Multiphysics is an extremely powerful and versatile finite element package for the solution of partial differential equations. While the graphical user interface (GUI) offers a friendly environment for solving small ... 
Performance Comparison between Blocking and NonBlocking Communications for a ThreeDimensional Poisson Problem
(2009)The system of linear equations obtained by finite difference discretization of the threedimensional Poisson problem is solved by a matrixfree parallel implementation of the Jacobi method. After checking the convergence ... 
Parallel Performance Studies for a Maximum Likelihood Estimation Problem Using TAO
(2009)In this report, we present an application of parallel computing to an estimation procedure in statistics. The method of maximum likelihood estimation (MLE) is based on the ability to perform maximizations of probability ... 
Performance Studies for Multithreading in Matlab with Usage Instructions on hpc
(2009)This report explores the use of multiple computational cores by multithreading in the software package Matlab on a compute node with two dualcore AMD Opteron processors. After testing the builtin functions of Matlab for ... 
The Optimal Relaxation Parameter for the SOR Method Applied to the Poisson Equation in Any Space Dimensions
(Elsevier Ltd, 20090324)The finite difference discretization of the Poisson equation with Dirichlet boundary conditions leads to a large, sparse system of linear equations for the solution values at the interior mesh points. This problem is a ... 
Parallel studies for chemically reacting systems
(20090806)Parallel computing code can be applied to solve chemically reacting systems. In a well stirred chemical system, the number of molecules for each species can be solved by implicit tau method, and the histogram of the method ... 
A COMPARATIVE EVALUATION OF MATLAB, OCTAVE, FREEMAT, AND SCILAB FOR RESEARCH AND TEACHING
(2010)The commercial software package Matlab is the most widely used numerical computational package. GNU Octave, FreeMat, and Scilab are other numerical computational packages that have many of the same features as Matlab. ... 
Enabling Physiologically Representative Simulations of Pancreatic Beta Cells Imbedded in an Islet
(2010)Diabetes is a collection of diseases marked by high levels of glucose in the blood. The condition results from defects in insulin production or function, which are activities performed by the pancreas. Within the endocrine ... 
Finite Element Convergence Studies Using COMSOL 4.0a and LiveLink for MATLAB
(2010)In order to gauge how reasonable a finite element solution to a partial differential equation is on a given mesh, a common strategy is to refine the mesh, compute the solution on the finer mesh, and use the solutions on ...